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# What is the solution of log_{3x + 4}125 = 3?

**Solution:**

Given equation:

log_{3x + 4}125 = 3

Apply anti-log on both sides

125 = (3x + 4)^{3}

5^{3} = (3x + 4)^{3}

If the __exponents__ are equal, bases must be equal

5 = 3x + 4

5 - 4 = 3x

1 = 3x

x = 1/3

## What is the solution of log_{3x + 4}125 = 3?

**Summary:**

The solution of log_{3x + 4}125 = 3 is x = 1/3.

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